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Finding the Third Proportional to 471,380 and 1,018,064

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Solution

The third proportional to 471,380 and 1,018,064 is: 2,198,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,380 : 1,018,064 = 1,018,064 : x
  2. Step 2: Convert to fraction form
    471,380/1,018,064 = 1,018,064/x
  3. Step 3: Cross multiply
    471,380x = 1,018,064 × 1,018,064
  4. Step 4: Simplify right side
    471,380x = 1,036,454,308,096
  5. Step 5: Solve for x
    x = 1,036,454,308,096/471,380
  6. Step 6: Final answer
    x = 2,198,765.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.